Chaotic Dynamics Theory and Applications to Economics [Paperback]

This book is a tool for the theoretical and numerical investigation of nonlinear dynamical systems modelled by means of ordinary differential and difference equations.This work is a tool for the theoretical and numerical investigation of nonlinear dynamical systems modeled by means of ordinary differential and difference equations. Comprising a theoretical overview as well as a number of applications, the book is supplemented by an integrated software program.This work is a tool for the theoretical and numerical investigation of nonlinear dynamical systems modeled by means of ordinary differential and difference equations. Comprising a theoretical overview as well as a number of applications, the book is supplemented by an integrated software program.This book is a tool for the theoretical and numerical investigation of nonlinear dynamical systems modeled by means of ordinary differential and difference equations. The work is divided into two parts: a book, comprising a theoretical overview of the subject matter and a number of applications; and an integrated software program. The book first discusses the fundamental concepts and methods of chaos theory, and then applies these theoretical results and the facilities provided by the companion software program to models suggested by economic problems.Preface; Part I. Theory: 1. General introduction: chaos and economics; 2. Basic mathematical concepts; 3. A user's guide; 4. Surfaces of sections and Poincar? maps; 5. Spectral analysis; 6. Lyapunov characteristic exponents; 7. Dimensions; 8. Symbolic dynamics; 9. Transition to chaos: theoretical predictive criteria; 10. Analysis of experimental signals: some theoretical problems; Part II. Applications to Economics: 11. Discrete and continuous chaos; 12. Cycles and chaos in overlapping generations models with production; 13. Chaos in a continuous-time model of inventory business cycles; 14. Analysis of experimental signals; Part III. Software: 15. DMC manual; 16. MODEL; lÓ@